Temat: impulsive differential inequality - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On some impulsive fractional differential equations in Banach spaces
Autorzy:: Wang, J.
Wei, W.
Yang, Y.
Powiązania:: https://bibliotekanauki.pl/articles/255610.pdf
Data publikacji:: 2010
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional differential equations with impulses
nonlinear impulsive singular version of the Gronwall inequality
PC-mild solutions
existence
Opis:: This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of PC-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.
Źródło:: Opuscula Mathematica; 2010, 30, 4; 507-525
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality
Autorzy:: Liu, Y.
Yang, R.
Lu, J.
Wu, B.
Cai, X.
Powiązania:: https://bibliotekanauki.pl/articles/330348.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: impulsive differential inequality
globally exponential stability
high order Hopfield type neural network
nierówność różniczkowa
stabilność wykładnicza
sieć neuronowa Hopfielda
Opis:: This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov–Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 201-211
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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